Ultrafilters and Standard Functions in Non-Standard Arithmetic

DOI10.1112/plms/s3-22.4.705zbMath0256.02028OpenAlexW2012722773MaRDI QIDQ5670624

Christian W. Puritz

Publication date: 1971

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-22.4.705

Mathematics Subject Classification ID

Nonstandard models (03H99)

Related Items (11)

Partition Theorems and Ultrafilters ⋮ Countable ultraproducts without CH ⋮ Nonstandard characterisations of tensor products and monads in the theory of ultrafilters ⋮ Groupwise density and related cardinals ⋮ \(\mathcal {F}\)-finite embeddabilities of sets and ultrafilters ⋮ CONGRUENCE OF ULTRAFILTERS ⋮ A topological interpretation of three Leibnizian principles within the functional extensions ⋮ Conservative extensions of models of arithmetic ⋮ A simple algebraic characterization of nonstandard extensions ⋮ Hierarchies of measure-theoretic ultrafilters ⋮ A nonstandard technique in combinatorial number theory

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